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Finding the Fourth Proportional to 305,503.73, 458,295.83 and 113,352

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Solution

The fourth proportional to 305,503.73, 458,295.83 and 113,352 is: 170,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,503.73 : 458,295.83 = 113,352 : x
  2. Step 2: Convert to fraction form
    305,503.73/458,295.83 = 113,352/x
  3. Step 3: Cross multiply
    305,503.73x = 458,295.83 × 113,352
  4. Step 4: Simplify right side
    305,503.73x = 51,948,748,355.40
  5. Step 5: Solve for x
    x = 51,948,748,355.40/305,503.73
  6. Step 6: Final answer
    x = 170,042.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.